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Finite Element Modeling of Thermoviscous Acoustics on Adapted Anisotropic Meshes: Implementation of the Particle Velocity and Temperature Variation Formulation

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Abstract:

The numerical computations of thermoviscous acoustics consist of multi-physics and multiscale modeling, combining acoustic propagation at the wavelength scale and momentum and heat transfers at the scale of boundary layer thicknesses. The coupled linear formulation based upon particle velocity and the temperature variation variables is easily implemented using the finite element method. Because acoustic wavelength and boundary layer thicknesses have very different length scales, anisotropic and adaptive meshing is used to optimize the node distribution on the mesh. When combined, the Finite Element Method using degrees of freedom for particle velocity and temperature variation and anisotropic, adaptive meshing technique give the opportunity for accurate numerical solutions at reasonable computational cost.

In order to show the potential of the method, this numerical procedure is applied to axisymmetrical and bidimensional models, illustrating the ability to compute, for complete devices, both propagation and diffusion processes. The physics of the numerical solution is briefly discussed near the discontinuity of a duct and close to the end of a stack inserted in a resonant cavity.

Document Type: Research Article

DOI: https://doi.org/10.3813/AAA.918261

Publication date: 2010-01-01

More about this publication?
  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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